The number 16890
16890 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 563. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 563, 1126, 1689, 2815, 3378, 5630, 8445, 16890.
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How to work it out
- 1
16890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16890 is composite. Its prime factorisation is
- 3
The divisors add up to 40608; without 16890 itself that is 23718, so 16890 is abundant (23718 is more than 16890). Euler's totient φ(16890) = 4496 numbers up to 16890 share no factor with it.
- 4
The digits of 16890 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16890 = 2 \times 3 \times 5 \times 563 \]
16890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40608 |
| Euler totient φ(n) | 4496 |
| Square | 285272100 |
| Cube | 4818245769000 |
| Square root | 129.961533 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.689 × |
16890 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and ninety |
| Binary (base 2) | 100000111111010 |
| Octal (base 8) | 40772 |
| Hexadecimal (base 16) | 41FA |
| Base 3 | 212011120 |
| As time | 16890 seconds = 4 h 41 min 30 s |
Is 16890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16890 ÷ 2 = 8445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16890 ÷ 3 = 5630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16890 ÷ 5 = 3378) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16890 ÷ 6 = 2815) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16890 ÷ 10 = 1689) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16890 a prime number?
No. 16890 = 2 × 3 × 5 × 563, so it is divisible by 2.
What are the factors of 16890?
1, 2, 3, 5, 6, 10, 15, 30, 563, 1126, 1689, 2815, 3378, 5630, 8445, 16890.
What is 16890 in binary?
100000111111010 (hexadecimal 41FA, octal 40772).
What is the square root of 16890?
About 129.9615.
Is 16890 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16890?
It is a composite number with 16 divisors.